Skip to main content
main-content
Top

Hint

Swipe to navigate through the articles of this issue

01-04-2013 | Original Article | Issue 2/2013

International Journal of Machine Learning and Cybernetics 2/2013

From Gaussian kernel density estimation to kernel methods

Journal:
International Journal of Machine Learning and Cybernetics > Issue 2/2013
Authors:
Shitong Wang, Zhaohong Deng, Fu-lai Chung, Wenjun Hu

Abstract

This paper explores how a kind of probabilistic systems, namely, Gaussian kernel density estimation (GKDE), can be used to interpret several classical kernel methods, including the well-known support vector machine (SVM), support vector regression (SVR), one-class kernel classifier, i.e., support vector data description (SVDD) or equivalently minimal enclosing ball (MEB), and the fuzzy systems (FS). For the SVM, we reveal that the classical SVM with Gaussian density kernel attempts to find a noisy GKDE based Bayesian classifier with equal prior probabilities for each class. For the SVR, the classification based ε-SVR attempts to obtain two noisy GKDEs for each class in the constructed binary classification dataset, and the decision boundary just corresponds to the mapping function of the original regression problem. For the MEB or SVDD, we reveal the equivalence between it and the integrated-squared-errors (ISE) criterion based GKDE and by using this equivalence a MEB based classifier with privacy-preserving function is proposed for one kind of classification tasks where the datasets contain privacy-preserving clouds. For the FS, we show that the GKDE for a regression dataset is equivalent to the construction of a zero-order Takagi–Sugeno–Kang (TSK) fuzzy system based on the same dataset. Our extensive experiments confirm the obtained conclusions and demonstrated the effectiveness of the proposed new machine learning and modeling methods.

Please log in to get access to this content

To get access to this content you need the following product:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 69.000 Bücher
  • über 500 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Umwelt
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Testen Sie jetzt 30 Tage kostenlos.

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 50.000 Bücher
  • über 380 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Umwelt
  • Maschinenbau + Werkstoffe




Testen Sie jetzt 30 Tage kostenlos.

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 58.000 Bücher
  • über 300 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Testen Sie jetzt 30 Tage kostenlos.

Literature
About this article

Other articles of this Issue 2/2013

International Journal of Machine Learning and Cybernetics 2/2013 Go to the issue